钻石分形晶格上Ising模型的配分函数与关联函数

用参数变换方法,研究了钻石分形晶格上Ising自旋模型.精确求解了零场和非零场中系统的配分函数、自由能和关联函数,尤其推得了关联函数方程及其渐近行为的解析形式.结果表明，其关联行为与平移对称晶格上的Ising自旋系统类似. 关键词： Ising模型 外磁场 钻石分形晶格 关联函数

The partition function and correlation functions of the Ising model on a diamond fractal lattices

With a diamond fractal lattice, the Ising model was exactly solved by parameter_ transformation technique. The rigorous partition function, free energy and corre lation functions were obtained for zero as well as non_zero field. In particular , an equation of cumulant pair correlation function and its analytical asymptoti c expression was derived in the zero field. The result indicated that the corre lation behaviors of the Ising model on a diamond fractal lattices are similar to the two_dimensional transitionally invariant lattices.